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Finding the Fourth Proportional to 9,345.76, 12,898.06 and 6,983.80

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Solution

The fourth proportional to 9,345.76, 12,898.06 and 6,983.80 is: 9,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.76 : 12,898.06 = 6,983.80 : x
  2. Step 2: Convert to fraction form
    9,345.76/12,898.06 = 6,983.80/x
  3. Step 3: Cross multiply
    9,345.76x = 12,898.06 × 6,983.80
  4. Step 4: Simplify right side
    9,345.76x = 90,077,471.43
  5. Step 5: Solve for x
    x = 90,077,471.43/9,345.76
  6. Step 6: Final answer
    x = 9,638.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.